{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forecasting with sktime\n",
    "\n",
    "In forecasting, we're interested in using past data to make temporal forward predictions. `sktime` provides common statistical forecasting algorithms and tools for building composite machine learning models.\n",
    "\n",
    "\n",
    "<img src=\"img/forecasting.png\" width=750 />\n",
    "\n",
    "For more details, take a look at [our paper on forecasting with sktime](https://arxiv.org/abs/2005.08067) in which we discuss the forecasting API in more detail and use it to replicate and extend the M4 study."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preliminaries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:12.448531Z",
     "iopub.status.busy": "2020-12-19T14:27:12.447833Z",
     "iopub.status.idle": "2020-12-19T14:27:14.124844Z",
     "shell.execute_reply": "2020-12-19T14:27:14.125382Z"
    }
   },
   "outputs": [],
   "source": [
    "from warnings import simplefilter\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from sktime.datasets import load_airline\n",
    "from sktime.forecasting.arima import ARIMA, AutoARIMA\n",
    "from sktime.forecasting.base import ForecastingHorizon\n",
    "from sktime.forecasting.compose import (\n",
    "    EnsembleForecaster,\n",
    "    ReducedRegressionForecaster,\n",
    "    TransformedTargetForecaster,\n",
    ")\n",
    "from sktime.forecasting.exp_smoothing import ExponentialSmoothing\n",
    "from sktime.forecasting.model_selection import (\n",
    "    ForecastingGridSearchCV,\n",
    "    SlidingWindowSplitter,\n",
    "    temporal_train_test_split,\n",
    ")\n",
    "from sktime.forecasting.naive import NaiveForecaster\n",
    "from sktime.forecasting.theta import ThetaForecaster\n",
    "from sktime.forecasting.trend import PolynomialTrendForecaster\n",
    "from sktime.performance_metrics.forecasting import sMAPE, smape_loss\n",
    "from sktime.transformations.series.detrend import Deseasonalizer, Detrender\n",
    "from sktime.utils.plotting import plot_series\n",
    "\n",
    "simplefilter(\"ignore\", FutureWarning)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data\n",
    "To start, we use the Box-Jenkins univariate airline data set, which shows the number of international airline\n",
    "passengers per month from 1949 - 1960."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:14.128864Z",
     "iopub.status.busy": "2020-12-19T14:27:14.128390Z",
     "iopub.status.idle": "2020-12-19T14:27:14.398896Z",
     "shell.execute_reply": "2020-12-19T14:27:14.399394Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = load_airline()\n",
    "plot_series(y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A time series consists of a sequence of timepoint-value pairs, where the value represents the value we observed and the timepoint the point in time at which we observed that value.\n",
    "\n",
    "We represent time series as a `pd.Series` where the index represents the timepoints. `sktime` supports pandas integer, period and timestamp indices. In this example, we have a period index:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:14.404130Z",
     "iopub.status.busy": "2020-12-19T14:27:14.403384Z",
     "iopub.status.idle": "2020-12-19T14:27:14.405704Z",
     "shell.execute_reply": "2020-12-19T14:27:14.406204Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PeriodIndex(['1949-01', '1949-02', '1949-03', '1949-04', '1949-05', '1949-06',\n",
       "             '1949-07', '1949-08', '1949-09', '1949-10',\n",
       "             ...\n",
       "             '1960-03', '1960-04', '1960-05', '1960-06', '1960-07', '1960-08',\n",
       "             '1960-09', '1960-10', '1960-11', '1960-12'],\n",
       "            dtype='period[M]', name='Period', length=144, freq='M')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.index"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Specifying the forecasting task"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we will define a forecasting task.\n",
    "\n",
    "* We will try to predict the last 3 years of data, using the previous years as training data. Each point in the series represents a month, so we should hold out the last 36 points as test data, and use 36-step ahead forecasting horizon to evaluate forecasting performance.\n",
    "* We will use the sMAPE (symmetric mean absolute percentage error) to quantify the accuracy of our forecasts. A lower sMAPE means higher accuracy.\n",
    "\n",
    "We can split the data as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:14.429181Z",
     "iopub.status.busy": "2020-12-19T14:27:14.428677Z",
     "iopub.status.idle": "2020-12-19T14:27:14.589654Z",
     "shell.execute_reply": "2020-12-19T14:27:14.590146Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "108 36\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_train, y_test = temporal_train_test_split(y, test_size=36)\n",
    "plot_series(y_train, y_test, labels=[\"y_train\", \"y_test\"])\n",
    "print(y_train.shape[0], y_test.shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we want to generate forecasts, we need to specify the forecasting horizon and pass that to our forecasting algorithm.\n",
    "\n",
    "#### Relative forecasting horizon\n",
    "One of the simplest ways is to define a `np.array` with the steps ahead that you want to predict relative to the end of the training series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:14.594196Z",
     "iopub.status.busy": "2020-12-19T14:27:14.593469Z",
     "iopub.status.idle": "2020-12-19T14:27:14.596406Z",
     "shell.execute_reply": "2020-12-19T14:27:14.596892Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34,\n",
       "       35, 36])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fh = np.arange(len(y_test)) + 1\n",
    "fh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So here we're interested in predicting from the first to to the 36th step ahead. Of course you could you use other forecasting horizons. For example, to predict only the second and fifth step ahead, you could write:\n",
    "\n",
    "```python\n",
    "import numpy as np\n",
    "fh = np.array([2, 5])  # 2nd and 5th step ahead\n",
    "```\n",
    "\n",
    "#### Absolute forecasting horizon\n",
    "Alternatively, we can specify the forecasting horizon using the absolute time points we want to predict. In order to do that, we need to use `sktime`'s `ForecastingHorizon` class. This way, we can simply create the forecasting horizon from the time points from the test set:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:14.601335Z",
     "iopub.status.busy": "2020-12-19T14:27:14.600670Z",
     "iopub.status.idle": "2020-12-19T14:27:14.603505Z",
     "shell.execute_reply": "2020-12-19T14:27:14.604000Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ForecastingHorizon(['1958-01', '1958-02', '1958-03', '1958-04', '1958-05', '1958-06',\n",
       "             '1958-07', '1958-08', '1958-09', '1958-10', '1958-11', '1958-12',\n",
       "             '1959-01', '1959-02', '1959-03', '1959-04', '1959-05', '1959-06',\n",
       "             '1959-07', '1959-08', '1959-09', '1959-10', '1959-11', '1959-12',\n",
       "             '1960-01', '1960-02', '1960-03', '1960-04', '1960-05', '1960-06',\n",
       "             '1960-07', '1960-08', '1960-09', '1960-10', '1960-11', '1960-12'],\n",
       "            dtype='period[M]', name='Period', freq='M', is_relative=False)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fh = ForecastingHorizon(y_test.index, is_relative=False)\n",
    "fh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating forecasts\n",
    "\n",
    "Like in scikit-learn, in order to make forecasts, we need to first specify (or build) a model, then fit it to the training data, and finally call predict to generate forecasts for the given forecasting horizon.\n",
    "\n",
    "`sktime` comes with several forecasting algorithms (or forecasters) and tools for composite model building. All forecaster share a common interface. Forecasters are trained on a single series of data and make forecasts for the provided forecasting horizon.\n",
    "\n",
    "### Naïve baselines\n",
    "Let's start with two naïve forecasting strategies which can serve as references for comparison of more sophisticated approaches.\n",
    "\n",
    "#### Predicting the last value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:14.608249Z",
     "iopub.status.busy": "2020-12-19T14:27:14.607701Z",
     "iopub.status.idle": "2020-12-19T14:27:14.816581Z",
     "shell.execute_reply": "2020-12-19T14:27:14.817088Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.23195770387951434"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# using sktime\n",
    "forecaster = NaiveForecaster(strategy=\"last\")\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_pred, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Predicting the last value of the same season"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:14.843054Z",
     "iopub.status.busy": "2020-12-19T14:27:14.842557Z",
     "iopub.status.idle": "2020-12-19T14:27:15.028166Z",
     "shell.execute_reply": "2020-12-19T14:27:15.028671Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.145427686270316"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecaster = NaiveForecaster(strategy=\"last\", sp=12)\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_pred, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Why not just use scikit-learn?\n",
    "\n",
    "You may wonder why we do not simply use scikit-learn for forecasting. Isn't forecasting in the end just a regression problem?\n",
    "\n",
    "In principle, yes. But scikit-learn is not designed for solving forecasting tasks, so beware of the pitfalls!\n",
    "\n",
    "### Pitfall 1: Model validation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.033204Z",
     "iopub.status.busy": "2020-12-19T14:27:15.032717Z",
     "iopub.status.idle": "2020-12-19T14:27:15.224807Z",
     "shell.execute_reply": "2020-12-19T14:27:15.225321Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "y_train, y_test = train_test_split(y)\n",
    "plot_series(y_train.sort_index(), y_test.sort_index(), labels=[\"y_train\", \"y_test\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This leads to leakage:\n",
    "\n",
    "> The data you are using to train a machine learning algorithm happens to have the information you are trying to predict.\n",
    "\n",
    "But `train_test_split(y, shuffle=False)` works, which is what `temporal_train_test_split(y)` does in `sktime`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.248759Z",
     "iopub.status.busy": "2020-12-19T14:27:15.248084Z",
     "iopub.status.idle": "2020-12-19T14:27:15.405829Z",
     "shell.execute_reply": "2020-12-19T14:27:15.406402Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_train, y_test = temporal_train_test_split(y)\n",
    "plot_series(y_train, y_test, labels=[\"y_train\", \"y_test\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pitfall 2: How exactly do we apply regression algorithms to a forecasting task?\n",
    "\n",
    "In order to use scikit-learn, we have to first transform the data into the required tabular format, then fit a regressor and finally generate forecasts.\n",
    "\n",
    "#### Key idea: Reduction\n",
    "Forecasting is often solved via regression. This approach is sometimes called reduction, because we reduce the forecasting task to the simpler but related task of tabular regression. This allows to apply any regression algorithm to the forecasting problem.\n",
    "\n",
    "Reduction to regression works as follows: We first need to transform the data into the required tabular format. We can do this by cutting the training series into windows of a fixed length and stacking them on top of each other. Our target variable consists of the subsequent observation for each window.\n",
    "\n",
    "We could write some code to do that, as for example in the [M4 competition](https://github.com/Mcompetitions/M4-methods):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.412822Z",
     "iopub.status.busy": "2020-12-19T14:27:15.412295Z",
     "iopub.status.idle": "2020-12-19T14:27:15.414059Z",
     "shell.execute_reply": "2020-12-19T14:27:15.414558Z"
    }
   },
   "outputs": [],
   "source": [
    "# slightly modified code from the M4 competition\n",
    "def split_into_train_test(data, in_num, fh):\n",
    "    \"\"\"\n",
    "    Splits the series into train and test sets.\n",
    "\n",
    "    Each step takes multiple points as inputs\n",
    "    :param data: an individual TS\n",
    "    :param fh: number of out of sample points\n",
    "    :param in_num: number of input points for the forecast\n",
    "    :return:\n",
    "    \"\"\"\n",
    "    train, test = data[:-fh], data[-(fh + in_num) :]\n",
    "    x_train, y_train = train[:-1], np.roll(train, -in_num)[:-in_num]\n",
    "    x_test, y_test = test[:-1], np.roll(test, -in_num)[:-in_num]\n",
    "    #     x_test, y_test = train[-in_num:], np.roll(test, -in_num)[:-in_num]\n",
    "\n",
    "    # reshape input to be [samples, time steps, features]\n",
    "    # (N-NF samples, 1 time step, 1 feature)\n",
    "    x_train = np.reshape(x_train, (-1, 1))\n",
    "    x_test = np.reshape(x_test, (-1, 1))\n",
    "    temp_test = np.roll(x_test, -1)\n",
    "    temp_train = np.roll(x_train, -1)\n",
    "    for x in range(1, in_num):\n",
    "        x_train = np.concatenate((x_train[:-1], temp_train[:-1]), 1)\n",
    "        x_test = np.concatenate((x_test[:-1], temp_test[:-1]), 1)\n",
    "        temp_test = np.roll(temp_test, -1)[:-1]\n",
    "        temp_train = np.roll(temp_train, -1)[:-1]\n",
    "\n",
    "    return x_train, y_train, x_test, y_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.418421Z",
     "iopub.status.busy": "2020-12-19T14:27:15.417747Z",
     "iopub.status.idle": "2020-12-19T14:27:15.419433Z",
     "shell.execute_reply": "2020-12-19T14:27:15.419936Z"
    }
   },
   "outputs": [],
   "source": [
    "# here we split the time index, rather than the actual values,\n",
    "# to show how we split the windows\n",
    "feature_window, target_window, _, _ = split_into_train_test(\n",
    "    np.arange(len(y)), 10, len(fh)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To better understand the prior data transformation, we can look at how we can split the training series into windows. Here we show the generated windows expressed as integer indices:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.423342Z",
     "iopub.status.busy": "2020-12-19T14:27:15.422795Z",
     "iopub.status.idle": "2020-12-19T14:27:15.425106Z",
     "shell.execute_reply": "2020-12-19T14:27:15.425643Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9],\n",
       "       [ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10],\n",
       "       [ 2,  3,  4,  5,  6,  7,  8,  9, 10, 11],\n",
       "       [ 3,  4,  5,  6,  7,  8,  9, 10, 11, 12],\n",
       "       [ 4,  5,  6,  7,  8,  9, 10, 11, 12, 13]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feature_window[:5, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.428827Z",
     "iopub.status.busy": "2020-12-19T14:27:15.428333Z",
     "iopub.status.idle": "2020-12-19T14:27:15.430283Z",
     "shell.execute_reply": "2020-12-19T14:27:15.430781Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 11, 12, 13, 14])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "target_window[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.434071Z",
     "iopub.status.busy": "2020-12-19T14:27:15.433352Z",
     "iopub.status.idle": "2020-12-19T14:27:15.436245Z",
     "shell.execute_reply": "2020-12-19T14:27:15.436762Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(98, 10) (98,)\n"
     ]
    }
   ],
   "source": [
    "# now we can split the actual values of the time series\n",
    "x_train, y_train, x_test, y_test = split_into_train_test(y.values, 10, len(fh))\n",
    "print(x_train.shape, y_train.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.440109Z",
     "iopub.status.busy": "2020-12-19T14:27:15.439328Z",
     "iopub.status.idle": "2020-12-19T14:27:15.605006Z",
     "shell.execute_reply": "2020-12-19T14:27:15.605528Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomForestRegressor()"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "model = RandomForestRegressor()\n",
    "model.fit(x_train, y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What are potential pitfalls here?\n",
    "\n",
    "> This requires a lot of hand-written code which is often error-prone, not modular and not tuneable.\n",
    "\n",
    "> Note also that these steps involve a number of implicit hyper-parameters:\n",
    "> * the way you slice the time series into windows (e.g. the window length)\n",
    "> * the way you generate forecasts (recursive strategy, direct strategy, other hybrid strategies)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pitfall 3: Given a fitted regression algorithm, how can we generate forecasts?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.610227Z",
     "iopub.status.busy": "2020-12-19T14:27:15.609676Z",
     "iopub.status.idle": "2020-12-19T14:27:15.612026Z",
     "shell.execute_reply": "2020-12-19T14:27:15.612538Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(36, 10) (36,)\n"
     ]
    }
   ],
   "source": [
    "print(x_test.shape, y_test.shape)\n",
    "\n",
    "# add back time index to y_test\n",
    "y_test = pd.Series(y_test, index=y.index[-len(fh) :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.617988Z",
     "iopub.status.busy": "2020-12-19T14:27:15.617453Z",
     "iopub.status.idle": "2020-12-19T14:27:15.626929Z",
     "shell.execute_reply": "2020-12-19T14:27:15.627540Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.11455911283150787"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = model.predict(x_test)\n",
    "smape_loss(pd.Series(y_pred, index=y_test.index), y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But what's the problem here?\n",
    "\n",
    "> We actually don't make a multi-step-ahead forecast up to the 36th step ahead. Instead, we make 36 single-step-ahead forecasts always using the most recent data. But that's a solution to a different learning task!\n",
    "\n",
    "To fix this problem, we could write some code to do this recursively as in the M4 competition:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.662286Z",
     "iopub.status.busy": "2020-12-19T14:27:15.653711Z",
     "iopub.status.idle": "2020-12-19T14:27:15.858970Z",
     "shell.execute_reply": "2020-12-19T14:27:15.859527Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.15670668827071418"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# slightly modified code from the M4 study\n",
    "predictions = []\n",
    "last_window = x_train[-1, :].reshape(1, -1)  # make it into 2d array\n",
    "\n",
    "last_prediction = model.predict(last_window)[0]  # take value from array\n",
    "\n",
    "for i in range(len(fh)):\n",
    "    # append prediction\n",
    "    predictions.append(last_prediction)\n",
    "\n",
    "    # update last window using previously predicted value\n",
    "    last_window[0] = np.roll(last_window[0], -1)\n",
    "    last_window[0, (len(last_window[0]) - 1)] = last_prediction\n",
    "\n",
    "    # predict next step ahead\n",
    "    last_prediction = model.predict(last_window)[0]\n",
    "\n",
    "y_pred_rec = pd.Series(predictions, index=y_test.index)\n",
    "smape_loss(y_pred_rec, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forecasting with sktime\n",
    "\n",
    "### Reduction: from forecasting to regression\n",
    "\n",
    "`sktime` provides a meta-estimator for this approach, which is:\n",
    "\n",
    "* **modular** and **compatible with scikit-learn**, so that we can easily apply any scikit-learn regressor to solve our forecasting problem,\n",
    "* **tuneable**, allowing us to tune hyper-parameters like the window length or strategy to generate forecasts\n",
    "* **adaptive**, in the sense that it adapts the scikit-learn's estimator interface to that of a forecaster, making sure that we can tune and properly evaluate our model\n",
    "\n",
    "<img src=\"img/forecasting-to-regression-reduction.png\" width=\"500\"/>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.863300Z",
     "iopub.status.busy": "2020-12-19T14:27:15.862694Z",
     "iopub.status.idle": "2020-12-19T14:27:15.870687Z",
     "shell.execute_reply": "2020-12-19T14:27:15.871443Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "108 36\n"
     ]
    }
   ],
   "source": [
    "y = load_airline()\n",
    "y_train, y_test = temporal_train_test_split(y, test_size=36)\n",
    "print(y_train.shape[0], y_test.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:15.949971Z",
     "iopub.status.busy": "2020-12-19T14:27:15.949412Z",
     "iopub.status.idle": "2020-12-19T14:27:16.204503Z",
     "shell.execute_reply": "2020-12-19T14:27:16.205172Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.14008272913734346"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "\n",
    "regressor = KNeighborsRegressor(n_neighbors=1)\n",
    "forecaster = ReducedRegressionForecaster(\n",
    "    regressor=regressor, window_length=12, strategy=\"recursive\"\n",
    ")\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Statistical forecasters\n",
    "\n",
    "`sktime` has a number of statistical forecasting algorithms, based on implementations in statsmodels. For example, to use exponential smoothing with an additive trend component and multiplicative seasonality, we can write the following.\n",
    "\n",
    "Note that since this is monthly data, the seasonal periodicity (sp), or the number of periods per year, is 12."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:16.220570Z",
     "iopub.status.busy": "2020-12-19T14:27:16.215748Z",
     "iopub.status.idle": "2020-12-19T14:27:16.564236Z",
     "shell.execute_reply": "2020-12-19T14:27:16.563737Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05108252343492944"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecaster = ExponentialSmoothing(trend=\"add\", seasonal=\"multiplicative\", sp=12)\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "The exponential smoothing of state space model can also be automated similar\n",
    " to the [ets](https://www.rdocumentation.org/packages/forecast/versions/8.13/topics/ets) function in R."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:16.568095Z",
     "iopub.status.busy": "2020-12-19T14:27:16.567602Z",
     "iopub.status.idle": "2020-12-19T14:27:19.581828Z",
     "shell.execute_reply": "2020-12-19T14:27:19.582408Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.06317467074033545"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sktime.forecasting.ets import AutoETS\n",
    "\n",
    "forecaster = AutoETS(auto=True, sp=12, n_jobs=-1)\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another common model is the ARIMA model. In `sktime`, we interface [`pmdarima`](https://github.com/alkaline-ml/pmdarima), a package for automatically selecting the best ARIMA model. This since searches over a number of possible model parametrisations, it may take a bit longer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:19.590479Z",
     "iopub.status.busy": "2020-12-19T14:27:19.589698Z",
     "iopub.status.idle": "2020-12-19T14:27:22.877034Z",
     "shell.execute_reply": "2020-12-19T14:27:22.876465Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.04117062367656992"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecaster = AutoARIMA(sp=12, suppress_warnings=True)\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A single ARIMA model can also be manually configured."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.04257105737228371"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecaster = ARIMA(\n",
    "    order=(1, 1, 0), seasonal_order=(0, 1, 0, 12), suppress_warnings=True\n",
    ")\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "BATS and TBATS are two other time series forecasting algorithms that are contained in `sktime` by means of wrapping the package [`tbats`](https://github.com/intive-DataScience/tbats)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:22.881304Z",
     "iopub.status.busy": "2020-12-19T14:27:22.880724Z",
     "iopub.status.idle": "2020-12-19T14:27:34.935901Z",
     "shell.execute_reply": "2020-12-19T14:27:34.936403Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.08689500756325415"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sktime.forecasting.bats import BATS\n",
    "\n",
    "forecaster = BATS(sp=12, use_trend=True, use_box_cox=False)\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:34.940324Z",
     "iopub.status.busy": "2020-12-19T14:27:34.939784Z",
     "iopub.status.idle": "2020-12-19T14:27:48.874911Z",
     "shell.execute_reply": "2020-12-19T14:27:48.875407Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.08493353477049964"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sktime.forecasting.tbats import TBATS\n",
    "\n",
    "forecaster = TBATS(sp=12, use_trend=True, use_box_cox=False)\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`sktime` also provides an interface to [`fbprophet`](https://github.com/facebook/prophet) by Facebook. Please note that `fbprophet` is strongly related to data with a time stamp of type `pd.DatetimeIndex`, so we have to convert the index type first:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convert index to pd.DatetimeIndex\n",
    "z = y.copy()\n",
    "z = z.to_timestamp(freq=\"M\")\n",
    "z_train, z_test = temporal_train_test_split(z, test_size=36)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:fbprophet:Disabling weekly seasonality. Run prophet with weekly_seasonality=True to override this.\n",
      "INFO:fbprophet:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.06939056917256975"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sktime.forecasting.fbprophet import Prophet\n",
    "\n",
    "forecaster = Prophet(\n",
    "    seasonality_mode=\"multiplicative\",\n",
    "    n_changepoints=int(len(y_train) / 12),\n",
    "    add_country_holidays={\"country_name\": \"Germany\"},\n",
    "    yearly_seasonality=True,\n",
    ")\n",
    "forecaster.fit(z_train)\n",
    "y_pred = forecaster.predict(fh.to_relative(cutoff=y_train.index[-1]))\n",
    "\n",
    "y_pred.index = y_test.index\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Composite model building\n",
    "\n",
    "`sktime` provides a modular API for composite model building for forecasting.\n",
    "\n",
    "### Ensembling\n",
    "Like `scikit-learn`, `sktime` provides a meta-forecaster to ensemble multiple forecasting algorithms. For example, we can combine different variants of exponential smoothing as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:48.924974Z",
     "iopub.status.busy": "2020-12-19T14:27:48.893886Z",
     "iopub.status.idle": "2020-12-19T14:27:49.383359Z",
     "shell.execute_reply": "2020-12-19T14:27:49.383861Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "forecaster = EnsembleForecaster(\n",
    "    [\n",
    "        (\"ses\", ExponentialSmoothing(seasonal=\"multiplicative\", sp=12)),\n",
    "        (\n",
    "            \"holt\",\n",
    "            ExponentialSmoothing(\n",
    "                trend=\"add\", damped_trend=False, seasonal=\"multiplicative\", sp=12\n",
    "            ),\n",
    "        ),\n",
    "        (\n",
    "            \"damped\",\n",
    "            ExponentialSmoothing(\n",
    "                trend=\"add\", damped_trend=True, seasonal=\"multiplicative\", sp=12\n",
    "            ),\n",
    "        ),\n",
    "    ]\n",
    ")\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tuning\n",
    "In the `ReducedRegressionForecaster`, both the `window_length` and `strategy` arguments are hyper-parameters which we may want to optimise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:49.456582Z",
     "iopub.status.busy": "2020-12-19T14:27:49.456081Z",
     "iopub.status.idle": "2020-12-19T14:27:50.061544Z",
     "shell.execute_reply": "2020-12-19T14:27:50.062094Z"
    }
   },
   "outputs": [],
   "source": [
    "forecaster = ReducedRegressionForecaster(\n",
    "    regressor=regressor, window_length=15, strategy=\"recursive\"\n",
    ")\n",
    "param_grid = {\"window_length\": [5, 10, 15]}\n",
    "\n",
    "#  we fit the forecaster on the initial window,\n",
    "# and then use temporal cross-validation to find the optimal parameter\n",
    "cv = SlidingWindowSplitter(initial_window=int(len(y_train) * 0.5))\n",
    "gscv = ForecastingGridSearchCV(forecaster, cv=cv, param_grid=param_grid)\n",
    "gscv.fit(y_train)\n",
    "y_pred = gscv.predict(fh)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:50.085056Z",
     "iopub.status.busy": "2020-12-19T14:27:50.084571Z",
     "iopub.status.idle": "2020-12-19T14:27:50.270448Z",
     "shell.execute_reply": "2020-12-19T14:27:50.270990Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.14187443909112035"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:50.274546Z",
     "iopub.status.busy": "2020-12-19T14:27:50.273954Z",
     "iopub.status.idle": "2020-12-19T14:27:50.275890Z",
     "shell.execute_reply": "2020-12-19T14:27:50.276387Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'window_length': 15}"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gscv.best_params_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using scikit-learn's `GridSearchCV`, we can tune regressors imported from scikit-learn, in addition to tuning `window_length`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:27:50.299885Z",
     "iopub.status.busy": "2020-12-19T14:27:50.292390Z",
     "iopub.status.idle": "2020-12-19T14:28:16.873185Z",
     "shell.execute_reply": "2020-12-19T14:28:16.873970Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.12834791719456862"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.model_selection import GridSearchCV\n",
    "\n",
    "# tuning the 'n_estimator' hyperparameter of RandomForestRegressor from scikit-learn\n",
    "regressor_param_grid = {\"n_estimators\": [100, 200, 300]}\n",
    "forecaster_param_grid = {\"window_length\": [5, 10, 15, 20, 25]}\n",
    "\n",
    "# create a tunnable regressor with GridSearchCV\n",
    "regressor = GridSearchCV(RandomForestRegressor(), param_grid=regressor_param_grid)\n",
    "forecaster = ReducedRegressionForecaster(\n",
    "    regressor, window_length=15, strategy=\"recursive\"\n",
    ")\n",
    "\n",
    "cv = SlidingWindowSplitter(initial_window=int(len(y_train) * 0.5))\n",
    "gscv = ForecastingGridSearchCV(forecaster, cv=cv, param_grid=forecaster_param_grid)\n",
    "\n",
    "gscv.fit(y_train)\n",
    "y_pred = gscv.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:16.878170Z",
     "iopub.status.busy": "2020-12-19T14:28:16.877567Z",
     "iopub.status.idle": "2020-12-19T14:28:16.879723Z",
     "shell.execute_reply": "2020-12-19T14:28:16.880290Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'window_length': 25} {'n_estimators': 200}\n"
     ]
    }
   ],
   "source": [
    "print(gscv.best_params_, gscv.best_forecaster_.regressor_.best_params_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To access performance on a particular metric during tuning, we can use the `scoring` argument of `ForecastingGridSearchCV`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:16.939668Z",
     "iopub.status.busy": "2020-12-19T14:28:16.897283Z",
     "iopub.status.idle": "2020-12-19T14:28:41.985290Z",
     "shell.execute_reply": "2020-12-19T14:28:41.984805Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean_fit_time</th>\n",
       "      <th>mean_score_time</th>\n",
       "      <th>param_window_length</th>\n",
       "      <th>params</th>\n",
       "      <th>mean_test_sMAPE</th>\n",
       "      <th>rank_test_sMAPE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.004688</td>\n",
       "      <td>1.640830</td>\n",
       "      <td>5</td>\n",
       "      <td>{'window_length': 5}</td>\n",
       "      <td>0.296896</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.795189</td>\n",
       "      <td>1.559630</td>\n",
       "      <td>10</td>\n",
       "      <td>{'window_length': 10}</td>\n",
       "      <td>0.269926</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.777340</td>\n",
       "      <td>1.652045</td>\n",
       "      <td>15</td>\n",
       "      <td>{'window_length': 15}</td>\n",
       "      <td>0.245826</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.634498</td>\n",
       "      <td>1.150868</td>\n",
       "      <td>20</td>\n",
       "      <td>{'window_length': 20}</td>\n",
       "      <td>0.242409</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.768382</td>\n",
       "      <td>1.578212</td>\n",
       "      <td>25</td>\n",
       "      <td>{'window_length': 25}</td>\n",
       "      <td>0.237839</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   mean_fit_time  mean_score_time param_window_length                 params  \\\n",
       "0       5.004688         1.640830                   5   {'window_length': 5}   \n",
       "1       4.795189         1.559630                  10  {'window_length': 10}   \n",
       "2       4.777340         1.652045                  15  {'window_length': 15}   \n",
       "3       4.634498         1.150868                  20  {'window_length': 20}   \n",
       "4       4.768382         1.578212                  25  {'window_length': 25}   \n",
       "\n",
       "   mean_test_sMAPE  rank_test_sMAPE  \n",
       "0         0.296896                5  \n",
       "1         0.269926                4  \n",
       "2         0.245826                3  \n",
       "3         0.242409                2  \n",
       "4         0.237839                1  "
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gscv = ForecastingGridSearchCV(\n",
    "    forecaster, cv=cv, param_grid=forecaster_param_grid, scoring=sMAPE()\n",
    ")\n",
    "gscv.fit(y_train)\n",
    "pd.DataFrame(gscv.cv_results_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Detrending\n",
    "Note that so far the reduction approach above does not take any seasonal or trend into account, but we can easily specify a pipeline which first detrends the data.\n",
    "\n",
    "`sktime` provides a generic detrender, a transformer which uses any forecaster and returns the in-sample residuals of the forecaster's predicted values. For example, to remove the linear trend of a time series, we can write:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:42.016004Z",
     "iopub.status.busy": "2020-12-19T14:28:41.993210Z",
     "iopub.status.idle": "2020-12-19T14:28:42.202201Z",
     "shell.execute_reply": "2020-12-19T14:28:42.202689Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# liner detrending\n",
    "forecaster = PolynomialTrendForecaster(degree=1)\n",
    "transformer = Detrender(forecaster=forecaster)\n",
    "yt = transformer.fit_transform(y_train)\n",
    "\n",
    "# internally, the Detrender uses the in-sample predictions\n",
    "# of the PolynomialTrendForecaster\n",
    "forecaster = PolynomialTrendForecaster(degree=1)\n",
    "fh_ins = -np.arange(len(y_train))  # in-sample forecasting horizon\n",
    "y_pred = forecaster.fit(y_train).predict(fh=fh_ins)\n",
    "\n",
    "plot_series(y_train, y_pred, yt, labels=[\"y_train\", \"fitted linear trend\", \"residuals\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pipelining\n",
    "\n",
    "Let's use the detrender in a pipeline together with de-seasonalisation. Note that in forecasting, when we apply data transformations before fitting, we need to apply the inverse transformation to the predicted values. For this purpose, we provide the following pipeline class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:42.265365Z",
     "iopub.status.busy": "2020-12-19T14:28:42.264875Z",
     "iopub.status.idle": "2020-12-19T14:28:46.084147Z",
     "shell.execute_reply": "2020-12-19T14:28:46.084639Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05448013755454164"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecaster = TransformedTargetForecaster(\n",
    "    [\n",
    "        (\"deseasonalise\", Deseasonalizer(model=\"multiplicative\", sp=12)),\n",
    "        (\"detrend\", Detrender(forecaster=PolynomialTrendForecaster(degree=1))),\n",
    "        (\n",
    "            \"forecast\",\n",
    "            ReducedRegressionForecaster(\n",
    "                regressor=regressor, window_length=12, strategy=\"recursive\"\n",
    "            ),\n",
    "        ),\n",
    "    ]\n",
    ")\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.predict(fh)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of course, we could try again to optimise the hyper-parameters of components of the pipeline.\n",
    "\n",
    "Below we discuss two other aspects of forecasting: online learning, where we want to dynamically update forecasts as new data comes in, and prediction intervals, which allow us to quantify the uncertainty of our forecasts.\n",
    "\n",
    "## Online Forecasting\n",
    "\n",
    "For model evaluation, we sometimes want to evaluate multiple forecasts, using temporal cross-validation with a sliding window over the test data. For this purpose, we can leverage the forecasters from the `online_forecasting` module which use a composite forecaster, `PredictionWeightedEnsemble`, to keep track of the loss accumulated by each forecaster and create a prediction weighted by the predictions of the most \"accurate\" forecasters.\n",
    "\n",
    "Note that the forecasting task is changed: we make 35 predictions since we need the first prediction to help update the weights, we do not predict 36 steps ahead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:46.088192Z",
     "iopub.status.busy": "2020-12-19T14:28:46.087692Z",
     "iopub.status.idle": "2020-12-19T14:28:46.092751Z",
     "shell.execute_reply": "2020-12-19T14:28:46.093243Z"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "from sktime.forecasting.online_learning import (\n",
    "    NormalHedgeEnsemble,\n",
    "    OnlineEnsembleForecaster,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we need to initialize a `PredictionWeightedEnsembler` that will keep track of the loss accumulated by each forecaster and define which loss function we would like to use."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:46.096457Z",
     "iopub.status.busy": "2020-12-19T14:28:46.095966Z",
     "iopub.status.idle": "2020-12-19T14:28:46.097617Z",
     "shell.execute_reply": "2020-12-19T14:28:46.098115Z"
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "hedge_expert = NormalHedgeEnsemble(n_estimators=3, loss_func=mean_squared_error)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "We can then create the forecaster by defining the individual forecasters and specifying the `PredictionWeightedEnsembler` we are using. Then by fitting our forecasters and performing updates and prediction with the `update_predict` function, we get:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:46.151342Z",
     "iopub.status.busy": "2020-12-19T14:28:46.150335Z",
     "iopub.status.idle": "2020-12-19T14:28:47.657142Z",
     "shell.execute_reply": "2020-12-19T14:28:47.657667Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.04998488843486813"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecaster = OnlineEnsembleForecaster(\n",
    "    [\n",
    "        (\"ses\", ExponentialSmoothing(seasonal=\"multiplicative\", sp=12)),\n",
    "        (\n",
    "            \"holt\",\n",
    "            ExponentialSmoothing(\n",
    "                trend=\"add\", damped_trend=False, seasonal=\"multiplicative\", sp=12\n",
    "            ),\n",
    "        ),\n",
    "        (\n",
    "            \"damped\",\n",
    "            ExponentialSmoothing(\n",
    "                trend=\"add\", damped_trend=True, seasonal=\"multiplicative\", sp=12\n",
    "            ),\n",
    "        ),\n",
    "    ],\n",
    "    ensemble_algorithm=hedge_expert,\n",
    ")\n",
    "\n",
    "forecaster.fit(y_train)\n",
    "y_pred = forecaster.update_predict(y_test)\n",
    "plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "smape_loss(y_test[1:], y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For a single update, you can use the `update` method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prediction intervals\n",
    "So far, we've only looked at point forecasts. In many cases, we're also interested in prediction intervals. `sktime`'s interface support prediction intervals, but we haven't implemented them for all algorithms yet.\n",
    "\n",
    "Here, we use the Theta forecasting algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:47.674310Z",
     "iopub.status.busy": "2020-12-19T14:28:47.668212Z",
     "iopub.status.idle": "2020-12-19T14:28:47.676998Z",
     "shell.execute_reply": "2020-12-19T14:28:47.677573Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.08661467699983212"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "forecaster = ThetaForecaster(sp=12)\n",
    "forecaster.fit(y_train)\n",
    "alpha = 0.05  # 95% prediction intervals\n",
    "y_pred, pred_ints = forecaster.predict(fh, return_pred_int=True, alpha=alpha)\n",
    "smape_loss(y_test, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2020-12-19T14:28:47.751146Z",
     "iopub.status.busy": "2020-12-19T14:28:47.750641Z",
     "iopub.status.idle": "2020-12-19T14:28:47.941881Z",
     "shell.execute_reply": "2020-12-19T14:28:47.942219Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
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   ],
   "source": [
    "fig, ax = plot_series(y_train, y_test, y_pred, labels=[\"y_train\", \"y_test\", \"y_pred\"])\n",
    "ax.fill_between(\n",
    "    ax.get_lines()[-1].get_xdata(),\n",
    "    pred_ints[\"lower\"],\n",
    "    pred_ints[\"upper\"],\n",
    "    alpha=0.2,\n",
    "    color=ax.get_lines()[-1].get_c(),\n",
    "    label=f\"{1 - alpha}% prediction intervals\",\n",
    ")\n",
    "ax.legend();"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "As we have seen, in order to make forecasts, we need to first specify (or build) a model, then fit it to the training data, and finally call predict to generate forecasts for the given forecasting horizon.\n",
    "\n",
    "* `sktime` comes with several forecasting algorithms (or forecasters) and tools for composite model building. All forecaster share a common interface. Forecasters are trained on a single series of data and make forecasts for the provided forecasting horizon.\n",
    "\n",
    "* `sktime` has a number of statistical forecasting algorithms, based on implementations in statsmodels. For example, to use exponential smoothing with an additive trend component and multiplicative seasonality, we can write the following.\n",
    "\n",
    "\n",
    "## Useful resources\n",
    "* For more details, take a look at [our paper on forecasting with sktime](https://arxiv.org/abs/2005.08067) in which we discuss the forecasting API in more detail and use it to replicate and extend the M4 study.\n",
    "* For a good introduction to forecasting, see [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice. OTexts, 2018](https://otexts.com/fpp2/).\n",
    "* For comparative benchmarking studies/forecasting competitions, see the [M4 competition](https://www.sciencedirect.com/science/article/pii/S0169207019301128) and the currently running [M5 competition](https://www.kaggle.com/c/m5-forecasting-accuracy/overview)."
   ]
  },
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   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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